Some Aspects of Model Equations Development for Viscous Materials

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Irina Viktorova, Sofya Alekseeva, Muhammed Kose (2017). Some Aspects of Model Equations Development for Viscous Materials. Mechanics, Materials Science & Engineering, Vol 10. doi:10.2412/mmse.81.48.85

Authors: Irina Viktorova, Sofya Alekseeva, Muhammed Kose

ABSTRACT. Materials with viscous properties, polymers and composites with polymer matrix, have found increasingly wider applications in modern industry. It is known that temperature and moisture are very important for correct estimation of the environmental response of these materials. Therefore, the construction of the constitutive equations for the material elements under real conditions of exploitation, takes on special significance in modern mechanical engineering.

Keywords: viscoelasticity, creep, stress, strain, relaxation, viscous, elastic

DOI 10.2412/mmse.81.48.85

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References

[1] Rabotnov Yu.N. Creep Problems in Structural Members, North-Holland (1969).

[2] Bland D.R. The Theory of Linear Viscoelasticity, Oxford (1960).

[3] Bolzmann L. Zur Theorie der Elastischen Nachwirkungen. Ann.Phys. and Chemie, Bd.7 (1876).

[4] Volterra V. Lecons sur la Theorie Mathematique de la Vito pour la Vie, Paris (1931).

[5] Volterra V. Theory of Functionals and of integral and integro-differential Equations, Dover Publication (1959).

[6] Malthus T.R. An Essay on the Principle of Population, J. Johnson, London (1798).

[7] Duffing G. Elastizitat und Reibung beim Riementrieb. Forsch.Geb. Ingenieurwes, Bd.2, № 3 (1931).

[8] Suvorova J.V. The Influence of Time and Temperature on the Reinforced Plastics Strength. In: Failure mechanics of Composites, North-Holland, V. 3, p. 177-214 (1985).

[9] Suvorova J.V., Vasiliev A.E., Mashinskaya G.P., Finogenov G.N. Investigation of the Organotextolite Deformational Processes, Mechanics of composite materials, N 5, p.847-851 (1980) (In Russian).

[10] Goldman A.Ya. Strength of the Structural Members Polymers, L., Engineering research, 320p. (1979) (In Russian).

[11] Rabotnov Yu.N., Papernik L.Kh., Zvonov E.N. Tables of the Exponential Function of Arbitrary Order and its Integral. M., Nauka, 132p. (1969) (In Russian).

[12] Rabotnov Yu.N. Hereditary Mechanics of Solids. M., Nauka, 383p. (1977) (In Russian).

[13] Christensen R.M. Theory of Viscoelasticity. An introduction, Academic press (1971).

[14] Green A.E., Rivlin R.S. The Mechanics of Non-Linear Materials with Memory. Part I. Archive for Rational Mechanics and Analysis, v.1, № 1 (1957).

[15] Green A.E., Rivlin R.S. The Mechanics of Non-Linear Materials with Memory, Part III.  Archive for Rational Mechanics and Analysis, v.4, № 5 (1960).

[16] Iliushin A.A., Pobedria B.E. Basis of the Mathematical Theory of Thermo-viscoelasticity. M., Nauka, 280p. (1970).

[17] Viktorova I., Dandurand B., Alexeeva S., Fronya M. The Modeling of Creep for Polymer-Based Nanocomposites Using an Alternative Nonlinear Optimization Approach. Mechanics of Composite Materials, No.6, Vol.48, pp.1-14 (2012), doi 10.1007/s11029-013-9313-y

[18] Suvorova J.V. Condition of the Metal Plastic Deformation at Various Regimes of Loading. Mechanics of solids, N 1, p. 73-79 (1974) (in Russian).

[19] Melshanov A.F., Suvorova J.V., Khazanov S.Yu. Experimental Verification of the Constitutive Equation for Metals at Loading and Unloading. Mechanics of solids, N 6, p. 166-170 (1974) (in Russian).

[20] Rabotnov Yu.N., Suvorova J.V. The Non-linear Hereditary-type Stress-strain Relation for Metals. Int. J. Solids and Structures, 14, N 3, pp.173-185 (1978).

[21] Ferry J.D. Viscoelastic Properties of Polymers. New York – London (1961).

[22] Urzchumtcev Yu.S., Maksimov R.D. Prediction of the Deformational Properties of Polymer Materials. Riga, Zinatne, 416p. (1975).

[23] Suvorova J.V. Temperature Account in the Hereditary Theory of Elastic-plastic Media. Problems of Strength, N 2, pp.43-48 (1977) (in Russian).

[24] Machmutov I.M., Sorina T.G., Suvorova J.V., Surgucheva A.I. Failure of Composites Under Temperature and Moisture Influence. Mechanics of composite materials, N 2, pp.245-250 (1983) (in Russian).

[25] Suvorova J.V., Machmutov I.M., Sokolovsky S.V., Sorina T.G. Influence of Moisture and Preloading on Strength of the Composites with Polymer Matrices at Unidirectional Tension. Mashinovedenie, N 5, pp. 62-66 (1985) (in Russian).

[26] Tynnyi A.N., Kolevatov Yu.A., Soshko A.I., Kalinin N.G. About an Influence of the Rate of Deformation on the Strength of Polymer Materials in the Liquid Media. Physico-chemistry mechanics of materials, v.5, N 6, pp. 677-679 (1969) (in Russian).

[27] Nguen Din Dyk, Suvorova, Alexeeva S.I. Combined Account of Temperature and Moisture in the Constitutive Equation of Hereditary Type. Zavodskaya laboratoria, N 12 (2000) (in Russian).

[28] Nguen Din Dyk, Suvorova J.V., Alexeeva S.I. Sorina T.G. Influence of Moisture Saturation on Strength of Bazaltoplastics. Zavodskaya laboratoria, N 12 (2000) (in Russian).

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